Question

F(x)=x2+3 & g(x)=2x−7

1) (f−g)(x)=
2) (f⋅g)(x)=
3) (f°g)(5)=
4) (g°f)(x)=

Answer 1

Explanation:

1)

• f-g(x)
• x²+3-2x+7
• x²-2x+10

2)

• f×g(x)
• (x²+3)(2x-7)
• 2x³-7x²+6x-21

3)

• fog(5)
• f(g(5))
• f(2×5-7)
• f(3)
• 3²+3
• 9+3
• 12

4)

• gof(x)
• g(f(x))
• g(x²+3)
• (2x-7)²+3
• 2x²-2×2x×7+7²
• 2x²-28x+49

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